Theme Essential Question: How does the probability of an outcome affect the decision making process in real-life situations?
Essential Questions: How do you find the experimental probability of an event?
Standards:
7. SP.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
7. SP.7a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
7. SP.7b: Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
Objectives:
The student will explore and analyze experimental probability.
The student will calculate experimental probability.
The student will make compare experimental and theatrical probabilities.
Recommended: For a quick overview of the stands(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials at http://www.azed.gov/educator-certification/.
Assessment: Product This project will encompass the theoretical and experimental probability units. Students will be designing and developing a hands-on presentation using physical objects, graphing calculators, or web based simulations.
Students are to work as partners or small group to design and develop a simulation.
Students are to calculate the theoretical probability of their simulation. (week 2)
Students are to analyze and make predictions based on their simulation. (week 2)
Students are to collect data using physical objects, graphing calculators, or web based simulation. They are to calculate the experimental probability of their simulation. (week 3)
Students are to compare the results of their theoretical and experimental probability and develop a viable argument. (week 3)
Key Questions
What is experimental probability?
How do experimental and theoretical probability compare?
Observable Student Behaviors (Performance)
The student can successfully calculate, analyze and make predictions based on experimental probability.
The student can compare and contrast theoretical and experimental probability.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary:
Math
Experimental probability P(event) = Number of times the event occurs Total number of trials
Suggested Activities__:
Houghton Mifflin On Core Mathematics Middle School Grade 7 Unit 7-3, p. 165-168
v Gizmo Correlation
7.SP.6
Theoretical and Experimental Probability
Experiment with spinners and compare the experimental probability of a particular outcome to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
7.SP.7
Probability Simulations
Experiment with spinners and compare the experimental probability of particular outcomes to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
High Recommended: Not available
Glencoe 7th Grade Mathematics Application and Concepts Course 2, Chapter 9-6, p. 393-397
Teaching the Common Core Math Standards with Hands-On Activities,
Introduces probablility, experimental and theorectical probability, complementary events.
7S.P 7b Exploring Probability
This lesson activity allows students to explore probability through the use of spinners, dice, and a random image chooser. Students will discuss if a situation has a equal probability or unequal probability.
Content: Experimental Probability
Dates: 4/22/2013 - 4/26/2013
Theme Essential Question:
How does the probability of an outcome affect the decision making process in real-life situations?
Essential Questions:
How do you find the experimental probability of an event?
Standards:
Objectives:
Recommended: For a quick overview of the stands(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials at http://www.azed.gov/educator-certification/.
Assessment:
Product
This project will encompass the theoretical and experimental probability units. Students will be designing and developing a hands-on presentation using physical objects, graphing calculators, or web based simulations.
Key Questions
Observable Student Behaviors (Performance)
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary:
Total number of trials
Suggested Activities__:
- Houghton Mifflin On Core Mathematics Middle School Grade 7 Unit 7-3, p. 165-168
v Gizmo Correlation- 7.SP.6
- Theoretical and Experimental Probability
- Experiment with spinners and compare the experimental probability of a particular outcome to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
- 7.SP.7
- Probability Simulations
- Experiment with spinners and compare the experimental probability of particular outcomes to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
High Recommended: Not availableDiverse Learners
Homework: (Teacher Discretion)
Terminology for Teachers:
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking | Reinforcing/Recognition | Homework/Practice |
Non-Linguistic representation | Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers
Resources:
Professional Texts:
Literary Texts
Informational Texts
Art, Music, and Media
Manipulatives
Games
Videos
Smartboard Lesson, Promethean Lessons
- 7S.P 7a Introduction to Probability
Introduces probablility, experimental and theorectical probability, complementary events.- 7S.P 7b Exploring Probability
This lesson activity allows students to explore probability through the use of spinners, dice, and a random image chooser. Students will discuss if a situation has a equal probability or unequal probability.Other Activities, etc.
Language
Arts
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
7 Matrix
Accelerated 7
Matrix
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Home K-2
Home 3-6
Home 6-8
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6